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Finding the Fourth Proportional to 608.90, 914.70 and 584.30

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Solution

The fourth proportional to 608.90, 914.70 and 584.30 is: 877.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.90 : 914.70 = 584.30 : x
  2. Step 2: Convert to fraction form
    608.90/914.70 = 584.30/x
  3. Step 3: Cross multiply
    608.90x = 914.70 × 584.30
  4. Step 4: Simplify right side
    608.90x = 534,459.21
  5. Step 5: Solve for x
    x = 534,459.21/608.90
  6. Step 6: Final answer
    x = 877.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.